18 citations · 45 across the 13 of their papers we have counts for
14 papers
Marginal likelihood and model selection for Gaussian latent tree and forest models
Mathias Drton, Shaowei Lin, Luca Weihs +1
Gaussian latent tree models, or more generally, Gaussian latent forest models have Fisher-information matrices that become singular along interesting submodels, namely, models that…
Hypersurfaces and their singularities in partial correlation testing
Shaowei Lin, Caroline Uhler, Bernd Sturmfels +1
An asymptotic theory is developed for computing volumes of regions in the parameter space of a directed Gaussian graphical model that are obtained by bounding partial correlations.…
Inverses of symmetric, diagonally dominant positive matrices and applications
Christopher J. Hillar, Shaowei Lin, Andre Wibisono
We prove tight bounds for the -norm of the inverse of symmetric, diagonally dominant positive matrices. We also prove a new lower-bound form of Hadamard's inequality for th…
Tropical secant graphs of monomial curves
Maria Angelica Cueto, Shaowei Lin
The first secant variety of a projective monomial curve is a threefold with an action by a one-dimensional torus. Its tropicalization is a three-dimensional fan with a one-dimensio…
Ideal-Theoretic Strategies for Asymptotic Approximation of Marginal Likelihood Integrals
Shaowei Lin
The accurate asymptotic evaluation of marginal likelihood integrals is a fundamental problem in Bayesian statistics. Following the approach introduced by Watanabe, we translate thi…
Polynomial relations among principal minors of a 4x4-matrix
Shaowei Lin, Bernd Sturmfels
The image of the principal minor map for n x n-matrices is shown to be closed. In the 19th century, Nansen and Muir studied the implicitization problem of finding all relations amo…